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Theory (Hardcover, 2nd corr. and exten. edition): Steven Lord, Fedor Sukochev, Dmitriy Zanin Theory (Hardcover, 2nd corr. and exten. edition)
Steven Lord, Fedor Sukochev, Dmitriy Zanin
R4,400 Discovery Miles 44 000 Ships in 12 - 19 working days

This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.

Trace Formulas (Hardcover, 2nd corr. and exten. edition): Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald Trace Formulas (Hardcover, 2nd corr. and exten. edition)
Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald
R5,239 Discovery Miles 52 390 Ships in 12 - 19 working days

This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes' noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes' character formula concerning the Hochschild class of the Chern character.

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